Geometry & Topology Volume 18, issue 5 (2014)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Residual properties of automorphism groups of (relatively) hyperbolic groups

Gilbert Levitt and Ashot Minasyan

Geometry & Topology 18 (2014) 2985–3023

DOI: 10.2140/gt.2014.18.2985

Bibliography

1	E Alibegović, A combination theorem for relatively hyperbolic groups, Bull. London Math. Soc. 37 (2005) 459 MR2131400
2	R B J T Allenby, G Kim, C Y Tang, Residual finiteness of outer automorphism groups of certain pinched $1$–relator groups, J. Algebra 246 (2001) 849 MR1872127
3	M Aschenbrenner, S Friedl, $3$–manifold groups are virtually residually $p$, Mem. Amer. Math. Soc. 1058, Amer. Math. Soc. (2013) MR3100378
4	B Baumslag, Residually free groups, Proc. London Math. Soc. 17 (1967) 402 MR0215903
5	G Baumslag, On generalised free products, Math. Z. 78 (1962) 423 MR0140562
6	G Baumslag, Automorphism groups of residually finite groups, J. London Math. Soc. 38 (1963) 117 MR0146271
7	B H Bowditch, Relatively hyperbolic groups, Internat. J. Algebra Comput. 22 (2012) 1250016, 66 MR2922380
8	I Bumagin, D T Wise, Every group is an outer automorphism group of a finitely generated group, J. Pure Appl. Algebra 200 (2005) 137 MR2142354
9	D E Cohen, Combinatorial group theory: A topological approach, London Math. Soc. Student Texts 14, Cambridge Univ. Press (1989) MR1020297
10	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
11	W Dicks, M J Dunwoody, Groups acting on graphs, Cambridge Studies in Advanced Mathematics 17, Cambridge Univ. Press (1989) MR1001965
12	J L Dyer, Separating conjugates in free-by-finite groups, J. London Math. Soc. 20 (1979) 215 MR551447
13	J L Dyer, Separating conjugates in amalgamated free products and HNN extensions, J. Austral. Math. Soc. Ser. A 29 (1980) 35 MR566274
14	L Funar, Two questions on mapping class groups, Proc. Amer. Math. Soc. 139 (2011) 375 MR2729098
15	E K Grossman, On the residual finiteness of certain mapping class groups, J. London Math. Soc. 9 (1974/75) 160 MR0405423
16	D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, Israel J. Math. 168 (2008) 317 MR2448064
17	V Guirardel, G Levitt, JSJ decompositions: definitions, existence, uniqueness, II: Compatibility and acylindricity, arXiv:1002.4564
18	V Guirardel, G Levitt, McCool groups of toral relatively hyperbolic groups, In preparation
19	V Guirardel, G Levitt, Splittings and automorphisms of relatively hyperbolic groups, to appear in Groups, Geometry, Dynamics arXiv:1212.1434
20	V Guirardel, G Levitt, The outer space of a free product, Proc. Lond. Math. Soc. 94 (2007) 695 MR2325317
21	B Hartley, On residually finite $p$–groups, from: "Symposia Mathematica, Vol. XVII", Academic Press (1976) 225 MR0419611
22	G C Hruska, Relative hyperbolicity and relative quasiconvexity for countable groups, Algebr. Geom. Topol. 10 (2010) 1807 MR2684983
23	G Levitt, Automorphisms of hyperbolic groups and graphs of groups, Geom. Dedicata 114 (2005) 49 MR2174093
24	A Lubotzky, Normal automorphisms of free groups, J. Algebra 63 (1980) 494 MR570726
25	A Martino, A proof that all Seifert $3$–manifold groups and all virtual surface groups are conjugacy separable, J. Algebra 313 (2007) 773 MR2329568
26	V Metaftsis, M Sykiotis, On the residual finiteness of outer automorphisms of relatively hyperbolic groups, J. Pure Appl. Algebra 214 (2010) 1301 MR2593663
27	A Minasyan, D Osin, Normal automorphisms of relatively hyperbolic groups, Trans. Amer. Math. Soc. 362 (2010) 6079 MR2661509
28	A Minasyan, D Osin, Fixed subgroups of automorphisms of relatively hyperbolic groups, Q. J. Math. 63 (2012) 695 MR2967171
29	D V Osin, Relative Dehn functions of amalgamated products and HNN–extensions, from: "Topological and asymptotic aspects of group theory" (editors R Grigorchuk, M Mihalik, M Sapir, Z Šunik), Contemp. Math. 394, Amer. Math. Soc. (2006) 209 MR2216718
30	D V Osin, Relatively hyperbolic groups: Intrinsic geometry, algebraic properties and algorithmic problems, Mem. Amer. Math. Soc. 179 (2006) MR2182268
31	D V Osin, Peripheral fillings of relatively hyperbolic groups, Invent. Math. 167 (2007) 295 MR2270456
32	L Paris, Residual $p$ properties of mapping class groups and surface groups, Trans. Amer. Math. Soc. 361 (2009) 2487 MR2471926
33	V N Remeslennikov, Finite approximability of groups with respect to conjugacy, Sibirsk. Mat. Ž. 12 (1971) 1085 MR0294469
34	A H Rhemtulla, Residually $F_{p}$–groups, for many primes $p$, are orderable, Proc. Amer. Math. Soc. 41 (1973) 31 MR0332615
35	D J S Robinson, A course in the theory of groups, Graduate Texts in Mathematics 80, Springer (1996) MR1357169
36	P Scott, The geometries of $3$–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
37	J P Serre, Arbres, amalgames, $\mathrm{SL}_{2}$, Astérisque 46, Soc. Math. France (1977) 189 MR0476875
38	J Stallings, Group theory and three-dimensional manifolds, Yale Mathematical Monographs 4, Yale University Press (1971) MR0415622
39	P F Stebe, Conjugacy separability of certain free products with amalgamation, Trans. Amer. Math. Soc. 156 (1971) 119 MR0274597
40	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
41	E Toinet, Conjugacy $p$–separability of right-angled Artin groups and applications, Groups Geom. Dyn. 7 (2013) 751 MR3095717
42	B A F Wehrfritz, Infinite linear groups: An account of the group-theoretic properties of infinite groups of matrices, Ergebnisse der Matematik 76, Springer (1973) MR0335656
43	B A F Wehrfritz, Two remarks on polycyclic groups, Bull. London Math. Soc. 26 (1994) 543 MR1315604